Michael Falk

965 total citations
21 papers, 393 citations indexed

About

Michael Falk is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Michael Falk has authored 21 papers receiving a total of 393 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Discrete Mathematics and Combinatorics, 14 papers in Geometry and Topology and 10 papers in Algebra and Number Theory. Recurrent topics in Michael Falk's work include Advanced Combinatorial Mathematics (18 papers), Algebraic structures and combinatorial models (8 papers) and Algebraic Geometry and Number Theory (7 papers). Michael Falk is often cited by papers focused on Advanced Combinatorial Mathematics (18 papers), Algebraic structures and combinatorial models (8 papers) and Algebraic Geometry and Number Theory (7 papers). Michael Falk collaborates with scholars based in United States and Canada. Michael Falk's co-authors include Richard Randell, Sergey Yuzvinsky, Hiroaki Terao, Alexander Varchenko, Nicholas Proudfoot, Daniel C. Cohen and Vadim Schechtman and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Michael Falk

21 papers receiving 336 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Falk United States	12	291	289	168	133	54	21	393
N. S. Romanovskiĭ Russia	12	195 0.7×	249 0.9×	175 1.0×	96 0.7×	13 0.2×	49	358
Michael Cuntz Germany	8	89 0.3×	107 0.4×	57 0.3×	101 0.8×	41 0.8×	30	165
Ron M. Adin Israel	10	279 1.0×	131 0.5×	116 0.7×	198 1.5×	18 0.3×	36	314
Ştefan Papadima Romania	13	206 0.7×	421 1.5×	346 2.1×	143 1.1×	6 0.1×	50	478
Enrique Artal Bartolo Spain	8	104 0.4×	188 0.7×	87 0.5×	56 0.4×	19 0.4×	45	215
Bernhard Mühlherr Germany	11	212 0.7×	219 0.8×	132 0.8×	43 0.3×	18 0.3×	54	291
Gerhard Röhrle Germany	12	235 0.8×	347 1.2×	318 1.9×	138 1.0×	15 0.3×	66	415
Eva María Feichtner Switzerland	7	135 0.5×	152 0.5×	57 0.3×	63 0.5×	18 0.3×	15	236
Mario Salvetti Italy	11	254 0.9×	346 1.2×	284 1.7×	24 0.2×	26 0.5×	33	418
Christian Stump Germany	8	175 0.6×	130 0.4×	55 0.3×	81 0.6×	17 0.3×	27	198

Countries citing papers authored by Michael Falk

Since Specialization

Citations

This map shows the geographic impact of Michael Falk's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Falk with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Falk more than expected).

Fields of papers citing papers by Michael Falk

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Falk. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Falk. The network helps show where Michael Falk may publish in the future.

Co-authorship network of co-authors of Michael Falk

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Falk. A scholar is included among the top collaborators of Michael Falk based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Falk. Michael Falk is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Falk, Michael & Richard Randell. (2018). On the homotopy theory of arrangements, II. Advanced studies in pure mathematics. 93–125. 1 indexed citations

Falk, Michael & Richard Randell. (2018). On the Homotopy Theory of Arrangements. Advanced studies in pure mathematics. 101–124. 4 indexed citations

Falk, Michael, Vadim Schechtman, & Alexander Varchenko. (2014). BGG resolutions via configuration spaces. French digital mathematics library (Numdam). 1. 225–245. 1 indexed citations

Cohen, Daniel C., et al.. (2011). Critical Points and Resonance of Hyperplane Arrangements. Canadian Journal of Mathematics. 63(5). 1038–1057. 11 indexed citations

Falk, Michael & Sergey Yuzvinsky. (2007). Multinets, resonance varieties, and pencils of plane curves. Compositio Mathematica. 143(4). 1069–1088. 38 indexed citations

Falk, Michael. (2007). Resonance Varieties over Fields of Positive Characteristic. International Mathematics Research Notices. 2007. 4 indexed citations

Falk, Michael. (2002). Line-Closed Matroids, Quadratic Algebras, and Formal Arrangments. Advances in Applied Mathematics. 28(2). 250–271. 5 indexed citations

Falk, Michael & Nicholas Proudfoot. (2002). Parallel connections and bundles of arrangements. Topology and its Applications. 118(1-2). 65–83. 5 indexed citations

Falk, Michael. (2001). Combinatorial and Algebraic Structure in Orlik–Solomon Algebras. European Journal of Combinatorics. 22(5). 687–698. 13 indexed citations

10.

Falk, Michael, et al.. (1999). Orlik-Solomon Algebras and Tutte Polynomials. Journal of Algebraic Combinatorics. 10(2). 189–199. 12 indexed citations

11.

Falk, Michael. (1997). Arrangements and cohomology. Annals of Combinatorics. 1(1). 135–157. 58 indexed citations

12.

Falk, Michael & Hiroaki Terao. (1997). 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements. Transactions of the American Mathematical Society. 349(1). 189–202. 22 indexed citations

13.

Falk, Michael. (1995). K(π, 1) arrangements. Topology. 34(1). 141–154. 6 indexed citations

14.

Falk, Michael. (1994). A note on discriminantal arrangements. Proceedings of the American Mathematical Society. 122(4). 1221–1227. 16 indexed citations

15.

Falk, Michael. (1994). A Note on Discriminantal Arrangements. Proceedings of the American Mathematical Society. 122(4). 1221–1221. 5 indexed citations

16.

Falk, Michael. (1993). Homotopy types of line arrangements. Inventiones mathematicae. 111(1). 139–150. 26 indexed citations

17.

Falk, Michael. (1992). A geometric duality for order complexes and hyperplane complements. European Journal of Combinatorics. 13(5). 351–356. 3 indexed citations

18.

Falk, Michael. (1990). On the algebra associated with a geometric lattice. Advances in Mathematics. 80(2). 152–163. 16 indexed citations

19.

Falk, Michael. (1988). The Minimal Model of the Complement of an Arrangement of Hyperplanes. Transactions of the American Mathematical Society. 309(2). 543–543. 12 indexed citations

20.

Falk, Michael. (1988). The minimal model of the complement of an arrangement of hyperplanes. Transactions of the American Mathematical Society. 309(2). 543–556. 30 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact